Khan Academy
Khan Academy: Algebra I: Evaluate Inverse Functions
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Interpret Time in Exponential Models
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Purple Math
Purplemath: Practical Algebra Lessons
Pre-algebra and algebra lessons, from negative numbers through pre-calculus. Grouped by level of study. Lessons are practical in nature informal in tone, and contain many worked examples and warnings about problem areas and probable...
Purple Math
Purplemath: Practical Algebra Lessons
Pre-Algebra and algebra lessons, from negative numbers through Pre-Calculus. Grouped by level of study. Lessons are practical in nature, informal in tone, and contain many worked examples and warnings about problem areas and probable...
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
Rice University
Rice University: Cynthia Lanius: Stressed Out: Slope as Rate of Change
This site may be used as a lesson for understanding graphs of functions and goes into slopes of a curve. The site helps students notice when a slope of a curve is increasing and decreasing and general interpretations of graphs.
CK-12 Foundation
Ck 12: Algebra: Rates of Change
[Free Registration/Login may be required to access all resource tools.] Learn how to solve problems involving rates of change.
CK-12 Foundation
Ck 12: Algebra: Rates of Change
[Free Registration/Login may be required to access all resource tools.] Find the rate of change associated with real-world scenarios.
Khan Academy
Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
Paul Dawkins
Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
Khan Academy
Khan Academy: Writing Linear Functions Word Problems
Practice writing a linear function that represents a real-world relationship that is given verbally. Functions are written using function notation.
Math Open Reference
Math Open Reference: Average Value
A complete reference guide to the average value. It provides a definition and examples that enhance further explanation. Includes links to related topics.
Khan Academy
Khan Academy: Average Rate of Change of Polynomials
This quiz tests your ability to find the average rate of change of a function over a given interval.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 1 [Pdf]
Students use the graph of "f" to determine the average rate of change and sketch a tangent line. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 8 [Pdf]
The activity has students distinguish between the graphs of the function and its derivative. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative of a Graph [Pdf]
Learners examine the derivative of a graph and the relationship between the derivative and the original function. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 1 [Pdf]
Students approximate values of a function using the graph of the function and differentials. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 2 [Pdf]
Learners approximate values of a function using the graph of the function and differentials. The exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 3 [Pdf]
The resource consists of graphs of the original function and derivative. Students approximate values of a function using the given graphs. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 4 [Pdf]
The handout consists of graphs of the original function and derivative. Learners approximate values of a function using the given graphs. The exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Two Functions 1 [Pdf]
The handout consists of a graph of the derivative of a function. Scholars are asked to sketch the graphs of two functions that have the given derivative. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Two Functions 2 [Pdf]
The practice exercise consists of a graph of the derivative of a function. Scholars are asked to sketch the graphs of two functions that have the given derivative. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Approximating Values 7 [Pdf]
The practice exercise has learners use differentials and the function graph to approximate function values. The handout is available in PDF format.